I. In the text you will find when you click the link below, extract the first two paragraphs and please find all the characteristics of fractals and underline them. Also find the adjectives and circle them.Be careful ! ! !
[[http://en.wikipedia.org/wiki/Fractal |http://en.wikipedia.org/wiki/Fractal]]
1. There is a definition of fractals there. Please identify it and identify its components.
Some more adjectives Definition:
A fractal (term to be defined) is "a rough or fragmentedgeometric shape (general class word) that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (characteristics),"[1] a property called self-similarity. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latinfractusmeaning "broken" or "fractured(characteristics)." A mathematical fractal is based on an equationthat undergoes iteration, a form offeedbackbased on recursion (characteristics).[2]
2. There is a description there, please identify it and tell me how you found it. What helped you when locating it.
Description:
A fractal often has the following features:[3]
·It has a fine structure at arbitrarily small scales. ·It is too irregular to be easily described in traditional Euclidean geometric language. ·It is self-similar (at least approximately or stochastically). ·It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).[4]. ·It has a simple and recursive definition.
Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar objects are fractals—for example, thereal line(a straightEuclideanline) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms. (Description)
Note: The adjectives are identified with a highlighter pink.
II: Now write a description of any mathematical word or topic.
The polygon are geometric figures that is closed, this has three or more sides.You need to be careful... The polygon is singular, are is plural, this is singular... you need to mainatain one form of the noun... The most pknown types of polygons are regular polygons, irregular, which are flat, simple, convex, equilateral, equiangular and straight sides.
Assignment
I. In the text you will find when you click the link below, extract the first two paragraphs and please find all the characteristics of fractals and underline them. Also find the adjectives and circle them.Be careful ! ! ![[http://en.wikipedia.org/wiki/Fractal |http://en.wikipedia.org/wiki/Fractal]]
1. There is a definition of fractals there. Please identify it and identify its components.
Some more adjectives
Definition:
A fractal (term to be defined) is "a rough or fragmentedgeometric shape (general class word) that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (characteristics),"[1] a property called self-similarity. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured (characteristics)." A mathematical fractal is based on an equation that undergoes iteration, a form offeedback based on recursion (characteristics).[2]
2. There is a description there, please identify it and tell me how you found it. What helped you when locating it.
Description:
A fractal often has the following features:[3]
· It has a fine structure at arbitrarily small scales.
· It is too irregular to be easily described in traditional Euclidean geometric language.
· It is self-similar (at least approximately or stochastically).
· It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).[4].
· It has a simple and recursive definition.
Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar objects are fractals—for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms. (Description)
Note: The adjectives are identified with a highlighter pink.
II: Now write a description of any mathematical word or topic.
The polygon are geometric figures that is closed, this has three or more sides. You need to be careful... The polygon is singular, are is plural, this is singular... you need to mainatain one form of the noun... The most pknown types of polygons are regular polygons, irregular, which are flat, simple, convex, equilateral, equiangular and straight sides.